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Finding the Fourth Proportional to 456.56, 629.56 and 325.52

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Solution

The fourth proportional to 456.56, 629.56 and 325.52 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 629.56 = 325.52 : x
  2. Step 2: Convert to fraction form
    456.56/629.56 = 325.52/x
  3. Step 3: Cross multiply
    456.56x = 629.56 × 325.52
  4. Step 4: Simplify right side
    456.56x = 204,934.37
  5. Step 5: Solve for x
    x = 204,934.37/456.56
  6. Step 6: Final answer
    x = 448.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.